Get ready to master the formulas for finding volumes of...
Mathematics58 views·Updated Jul 25, 2026·1 pageVolume of Pyramids, Cones, and Spheres Explained
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Weswes Wes@wesweswes_fvio
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Volume of Pyramids, Cones, and Spheres
Ever wonder how much space is inside a pyramid or a ball? Let's break down these volume formulas so you can solve problems easily!
For a rectangular pyramid, the volume equals one-third of the base area times the height: V = ⅓Bh (where B = L×W). If you have a triangular pyramid, the formula is similar, but the base area is calculated differently: V = ⅓Bh (where B = ½b₁b₂).
Cones follow a similar pattern to pyramids. Their volume is one-third of the base area times the height: V = ⅓πr²h. For spheres, the formula is V = ⅘πr³, where r is the radius of the sphere.
💡 Quick Tip: All these formulas include a fraction (⅓ or ⅘) multiplied by the base area or the cube of the radius. Remember that the base area changes depending on the shape!
Let's look at an example: For a triangular pyramid with a base of 9ft by 12ft and height of 10ft, we calculate: V = ⅓(½×9×12)×10 = ⅓(54)×10 = 180ft³
When solving these problems, take it one step at a time - first find the base area, then multiply by height, and finally multiply by the fraction in the formula.
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Mathematics58 views·Updated Jul 25, 2026·1 pageVolume of Pyramids, Cones, and Spheres Explained
W
Weswes Wes@wesweswes_fvio
Get ready to master the formulas for finding volumes of 3D shapes! In this guide, we'll explore how to calculate the volume of pyramids, cones, and spheres using simple formulas and step-by-step examples.
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Volume of Pyramids, Cones, and Spheres
Ever wonder how much space is inside a pyramid or a ball? Let's break down these volume formulas so you can solve problems easily!
For a rectangular pyramid, the volume equals one-third of the base area times the height: V = ⅓Bh (where B = L×W). If you have a triangular pyramid, the formula is similar, but the base area is calculated differently: V = ⅓Bh (where B = ½b₁b₂).
Cones follow a similar pattern to pyramids. Their volume is one-third of the base area times the height: V = ⅓πr²h. For spheres, the formula is V = ⅘πr³, where r is the radius of the sphere.
💡 Quick Tip: All these formulas include a fraction (⅓ or ⅘) multiplied by the base area or the cube of the radius. Remember that the base area changes depending on the shape!
Let's look at an example: For a triangular pyramid with a base of 9ft by 12ft and height of 10ft, we calculate: V = ⅓(½×9×12)×10 = ⅓(54)×10 = 180ft³
When solving these problems, take it one step at a time - first find the base area, then multiply by height, and finally multiply by the fraction in the formula.
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
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